20619a^2-2411340a+72000000=0

Lösung

20619 a^{2} - 2411340 a + 72000000 = 0

a = \frac{401890}{6873} + i \frac{659808000000 - 80378 0 ^{2}}{13746}, a = \frac{401890}{6873} - i \frac{659808000000 - 80378 0 ^{2}}{13746}

Schritte zur Lösung

20619 a^{2} - 2411340 a + 72000000 = 0

Teile beide Seiten durch

20619

\frac{20619 a ^{2}}{20619} - \frac{2411340 a}{20619} + \frac{72000000}{20619} = \frac{0}{20619}

Schreibe in der Standard Form

a x^{2} + b x + c = 0

a^{2} - \frac{803780 a}{6873} + \frac{8000000}{2291} = 0

Löse mit der quadratischen Formel

a_{1, 2} = \frac{- ( - \frac{803780}{6873} ) \pm ( - \frac{803780}{6873} ) ^{2} - 4 \cdot 1 \cdot \frac{8000000}{2291}}{2 \cdot 1}

Vereinfache

(- \frac{803780}{6873})^{2} - 4 \cdot 1 \cdot \frac{8000000}{2291} : i \frac{659808000000 - 80378 0 ^{2}}{6873}

a_{1, 2} = \frac{- ( - \frac{803780}{6873} ) \pm i \frac{659808000000 - 80378 0 ^{2}}{6873}}{2 \cdot 1}

Trenne die Lösungen

a_{1} = \frac{- ( - \frac{803780}{6873} ) + i \frac{659808000000 - 80378 0 ^{2}}{6873}}{2 \cdot 1}, a_{2} = \frac{- ( - \frac{803780}{6873} ) - i \frac{659808000000 - 80378 0 ^{2}}{6873}}{2 \cdot 1}

a = \frac{- ( - \frac{803780}{6873} ) + i \frac{659808000000 - 80378 0 ^{2}}{6873}}{2 \cdot 1} : \frac{401890}{6873} + i \frac{659808000000 - 80378 0 ^{2}}{13746}

a = \frac{- ( - \frac{803780}{6873} ) - i \frac{659808000000 - 80378 0 ^{2}}{6873}}{2 \cdot 1} : \frac{401890}{6873} - i \frac{659808000000 - 80378 0 ^{2}}{13746}

Die Lösungen für die quadratische Gleichung sind:

a = \frac{401890}{6873} + i \frac{659808000000 - 80378 0 ^{2}}{13746}, a = \frac{401890}{6873} - i \frac{659808000000 - 80378 0 ^{2}}{13746}

2 x^{2} + 9 x + 16 = 0

f a c t or x^{2} - 11 x = 0

x (x + 10) = 2184

so l v e f or j, z = (2 - j) (2 + 3 j)

x^{2} + 108 = 0